Question

question number 2. (10.00 points) given the following sampling distribution: what is p(x > -14)? 0.84 0.85 0.87 0.81 0.86 none of the above

Explanation:

Step1: Recall probability formula

The probability of an event is the sum of the probabilities of its favorable outcomes. We want $P(X > - 14)$.

Step2: Identify non - favorable outcome

The non - favorable outcome is $X=-17$ with $P(X = - 17)=\frac{7}{100}=0.07$.

Step3: Calculate $P(X > - 14)$

Since the sum of all probabilities in a probability distribution is 1, $P(X > - 14)=1 - P(X\leq - 14)$. And $P(X\leq - 14)=P(X=-17)+P(X = - 14)=\frac{7}{100}+\frac{9}{100}=0.16$. So $P(X > - 14)=1 - 0.16 = 0.84$.

Answer:

0.84